Answer:
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A stack of 9 cups measures 194 mm. Another stack of 22 of the same cups measures 272 mm.
1.) Find the height of one cup.
2.) How tall would a stack of n cups measure?
The result for the stack of cups are shown below;
The height of the one cup is found to be 6 mm,The height formed by the stack of n cups is 6n.What is defined as unitary method?The term unitary refers to a single or unique unit. As a result, the goal of this method is to determine values are related to a single unit.
The Unitary Method is the method in which we first find the value of one unit and then calculate the value of the necessary number of units.For example, if a car travels 44 kilometres on two litres of gasoline, we can employ the unitary method to calculate how far it will travel on one litre of gasoline.Now, as per the given question.
Part 1: The height of one cup;
The stack of 9 cups form the height 194 mm.
Similarly, the height of the 22 of the same cups measures 272 mm.
For the calculation of height of one cup;
Difference in the total height = 272 - 194 = 78.
Difference in the number of cups = 22 - 9 = 13.
Thus, the height of one cup = 78/13 = 6
The height of the one cup is found to be 6 mm.
Part 2: The height of n stack of cups;
The height of one cup is estimated as 6 mm.
There are total n number of cups.
Thus, the height of the n cups will be 6×n mm.
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What is an undefined term?
Answer : Undefined terms are those terms that don’t require a formal definition. The four terms are point line plane and set
Step-by-step explanation:
Find the surface area of a cylinder with a height of 8 inches and base diameyer of 6 inches i need help badly
The surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches
How to find the surface area of a cylinder with a height of 8 inches and base diameter of 6 inches?The given parameters are
Height, h = 8 inches
Diameter, d = 6 inches
The radius is calculated as
r = d/2
So, we have
r = 6/2
r = 3
The surface area of a cylinder is calculated as
S = 2πr(r + h)
So, we have
S = 2 * 3.14 * 3 * (3 + 8)
Evaluate
S = 207.24
Hence, the surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches
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The temperature at 3:00 p.m. was 7F. By 9.00 p.m. the temperature had dropped by 12 degrees. What was the temperature at 9.00 p.m.?
Answer: The answer is -5
Step-by-step explanation: According to the question it stated that the temperature was 7 degrees at 3pm and by 9pm it dropped 12 degrees so from my answer it would -5 degrees
researchers are interested in finding out if winning congressional candidates display more positive facial expressions than losing candidates. the researchers attend political debates and record how frequently each candidate displays positive facial expressions. which research method are the researchers using? a. random sample b. case study c. naturalistic observation d. survey
researchers are interested in finding out if winning congressional candidates display more positive facial expressions than losing candidates. c. naturalistic observation
What is naturalistic observation?A study technique called naturalistic observation includes watching participants in their natural settings. Many psychologists and other social scientists employ this strategy. It is an approach to qualitative research that emphasizes gathering, analyzing, and describing non-numerical data.
When performing lab research would be impractical, expensive, or would adversely influence the subject's behavior, it may be helpful. Naturalistic observation is to capture behavior as it happens in its natural environment without intervention or efforts to change any of the factors. In a lab context, people frequently act differently than they would in the wild. Sometimes, researchers wish to watch their subject's behavior "in the wild".
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I need help with this!
Answer:
-0.5
Step-by-step explanation:
[tex]\frac{f}{g} =\frac{f(n)}{g(n)} = \frac{4n}{n^2-3n}[/tex]
[tex]\frac{4(-5)}{(-5)^2-3(-5)} =\frac{-20}{40} =\frac{-1}{2}[/tex]
Given: B is midpoint if AC
C is the midpoint if BD
Prove: AB is congruent to CD
Answer:
See proof below
Step-by-step explanation:
If B is the midpoint of AC, then AB = BC
If C is the midpoint of BD then BC = CD
Using the transitive property of equality, if a = b and b = c then a =c
We apply this to the above line segments and get
If AB = BC and BC = CD then AB=CD
For two line segments to be congruent they must have the same length
So AB is congruent to CD
What is the measure of x?
3/2(8w-6)
can I get the answer in simplest form
Answer: 12w-9
Step-by-step explanation:
2/3x + 1/3x = x
Simplified
Answer: x=1
Step-by-step explanation:
Answer:
IMS (Infinitely Many Solutions)
Step-by-step explanation:
1. Combine like terms (2/3x + 1/3x) Equation: 1x = x
2. 1x is just x, so the final equation is x = x. When you get an answer like this, it means there are infinitely many solutions.
Name the segment in the scaled copy that corresponds to segment AD
Segment PS in the scaled copy corresponds to segment AD in polygon ABCD in polygon PQRS. They are similar in appearance and appear in the same location.
What is a polygon?A polygon is a two-dimensional flat shape with straight, fully closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.
Polygon is derived from the Greek word "polugonos." It has evolved into the term "polygon" over time. The term "polygon" means "many" and "gon" means "angled." This is due to the fact that a polygon has numerous angles and corners within its shape.
The Greeks may have been the first to recognize polygons, as there are numerous examples of them recognizing polygons such as the pentagram in their ancient art and writings.
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marilyn is going on a class outing to an amusement park. she has $40 to spend. the admission price is $20. she plans to buy a sandwich for $5. a cup of lemonade costs $3.00. write an inequality to show how many cups of lemonade, c, she can buy.
The inequality for the number of cups of lemonade she can buy is :
0 < c < 5.
Marilyn has $40 to spend in the amusement park.
Admission price = $20
So money left = 40 - 20 = $20
Now she plans to buy a sandwich for $5.
So the money left now will be = 20 - 5 = $15
Price of a cup of lemonade = $3
Marilyn can buy at most $15/3 = 5 cups of lemonade.
She can either choose to not buy a cup of lemonade or can buy at most 5 cups of lemonade.
So the inequality for the number of cups of lemonade she can buy will be
0 < c < 5 , where 'c' denotes the number of cups of lemonade.
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A stand in a supermarket can hold 157.5 kg. How many 1.25 kg bags of potatoes will it hold?
Answer:
If a stand can hold 157.5kg
x stand can hold 1.25kg
1=
Answer:
126 bags.
Step-by-step explanation:
157.5 / 1.25
= 126.
{(7x+y=14),(-2-y=6):}
Answer:12/8y
Step-by-step explanation:
i took the test
Examine the following graph of y=−3x+7.
Match each x-coordinate with the corresponding y-coordinate.
x-coordinate=2
x-coordinate=5
x-coordinate=3
x-coordinate=0
-----------------------------------
Answer choices to match with the X coordinates
Y coordinate = -2
Y coordinate = -8
Y coordinate = 7
Y coordinate = 1
Answer:
y = -3(2)+7
y= -6+7
y= 1
(2,1)
y=-3(5)+7
y= -15+7
y= -8
(5,-8)
y= -3(3)+7
y=-9+7
y=-2
(3,-2)
y=-3(0)+7
y=0+7
y=7
0,7)
Step-by-step explanation:
substitute the values of x in the equation
is james scored a 40 on a test with a mean of 38 and the standard deviation was for whataburger z-score be
The value of z-score for James is 0.2
Step-by-step explanation:
From the formula of z-score we know that
z-score = individual score - mean / standard deviation
Given
James score = 40
Mean = 38
Standard deviation = 10 (missing in question)
To find
z-score =?
Let's put the values in the formula
z-score = 40-38/ 10
z-score = 0.2
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Amy and Myra each walked from their houses to the mall. Amy walked one
half a mile and Myra walked two-thirds of a mile. How far did the girls walk all
together?
Answer:
C
Step-by-step explanation:
just do 1/2+2/3
Common denominators
3/6+4/6=7/6=1+1/6
C
Mrs. Figueroa made a spaghetti dinner for the cheerleaders after practice. She purchased four and three fourths pounds of beef for $3.99 per pound. How much money did she spend on the beef for the spaghetti?
$7.25
$8.87
$9.98
$18.95
Answer:
$18.95
Step-by-step explanation:
I need help ASAPPPPPPPPP
Answer:
C) 3/8 < 1/2 good luck
Step-by-step explanation:
brainliest please
A ramp with a constant incline is made to connect to a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?
The rate of change/slope of the ramp’s incline is found to be 3.
What is meant by rate of change or slope?A line's slope is defined as the change in y coordinate in relation to a change in x coordinate.
The net change in y coordinates is Δy, while it is x in Δx coordinates.As a result, the y coordinate shift in relation to the x coordinate shift could be written as,m = Δy/Δx
where, m is the slope
And, tan θ = Δy/Δx
Such an tan θ is also known as the line's slope.
The slope of a line could be determined by calculating using only two straight line points. The slope of line formula could then be used with two point coordinates.
Now, in response to the question;
To link a driveway to a front door, a ramp with a constant incline is built.
The ramp's height y₁ is 12 inches at a point 4 feet from of the driveway x₁.
The height y₂ of the ramp is 18 inches at a point 6 feet from of the driveway x₂.
The incline of the ramp's rate of change is given by:
Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)
The values given in the question;
(x₁, y₁) = (4, 12) and,
(x₂, y₂) = (6, 18)
Put the values in the formula of the slope;
Slope = m = (18 - 12)/(6 - 4)
m = 6/2
m = 3
Therefore the rate of change also called as ramp’s incline is calculated as 3.
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The measure of x, that is, the angle OBA is equal to 22.5°.
What is the measure of the missing angle in geometrical system?
Herein we find a geometric system formed by a circle, a diameter and a chord. In the image attached below we present all the possible angles of the geometric system, formed by two isosceles triangles.
According to Euclidean geometry, an isosceles triangle has two sides and two angles of equal length. Then, the sum of the internal angles of the triangle AOB is equal to:
m ∠ AOB + m ∠ OBA + m ∠ OAB = 180°
135° + 2 · m ∠ OBA = 180°
2 · m ∠ OBA = 45°
m ∠ OBA = 22.5°
By taking advantage of the properties of isosceles triangles, the measure of x, that is, the angle OBA is equal to 22.5°.
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Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?
l ≤ 12
2l + 2w < 30
l > 12
2l + 2w < 30
l ≤ 12
l + w < 30
l > 12
l + w < 30
The system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30
How to determine the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?The given parameters are
Length = Not more than 12 inches
Perimeter = Less than 30 inches
"Not more than" means less than or equal to
So, we have
l ≤ 12
The perimeter of a rectangle is
P = 2l + 2w
So, we have
2l + 2w = Less than 30 inches
"Less than" is represented with <
So, we have
2l + 2w < 30
Hence, the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30
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Answer:
a. I ≤ 12
2l + 2w < 30
Step-by-step explanation:
i got it right on edge.
a cell phone carrier charges a monthly fee of $20 and also charges customers $0.05 per text message. the function c(t) = 0.05t +20 represents the cost, c, per month based on t text messages in a month. which best describes the domain of the function?
The best description of the domain of the function is t >= 0
How to determine which best describes the domain of the function?The equation of the function is given as
C(t) = 0.05t + 20
The above equation is a linear function, and the variable t represent the number of text messages in a month
The number of text messages in a month cannot be negative
This means that
t >= 0
Hence, the best description of the domain of the function is t >= 0
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Make x the subject of the formula
√a=x−b^2/2c
Answer:
x = [tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex]
Step-by-step explanation:
[tex]\sqrt{a}[/tex] = x - [tex]\frac{b^2}{2c}[/tex] ( add [tex]\frac{b^2}{2c}[/tex] to both sides )
[tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex] = x
p and q are both prime numbers with p < q.
They are each less than 18
Give an example where p + q is odd but not prime.
The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.
It is given that the value of p and q is a prime number, and p<q.
But it is also given that the value of both should be less than 18 as well as a prime number.
Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.
And it is also given that p<q.
Now we have to find the value of p + q which is odd but not a prime number.
To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.
So
p + q = 2 + 5 = 7, which is odd but it is prime
Now again, q = 7
p + q = 2 + 7 = 9 , which is odd as well as not prime.
Again take q = 11
p + q = 2 + 11 = 13, which is odd but prime
Now take q = 13
p + q = 2 + 13 = 15, which is odd as well as not prime.
Now take q = 17
p + q = 2 + 17 = 19, which is odd and prime.
Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.
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the limit of f(x) as xa describes what happens to f(x) when x is near, but not equal to, the value a.
If x is near but not equal to, the value an is that f(a) then the function will not continue.
What is the limit?Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.
In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.
If a function f(x) is defined near to x = a but not a then there will be no continuity of that function at that point.
To exist a limit at x = a
LHL = RHL
But for continuity
LHL = RHL = f(a)
Hence "If x is near but not equal to, the value an is that f(a) then the function will not continue".
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Solve the inequality 34q−23q<512q−112 and write the solution in interval notation.
Answer: [tex]q=\frac{112}{501}[/tex]
Step-by-step explanation:
1) Add similar elements: 11q < 512q - 112
2) Subtract 512q from both sides: 11q - 512q < 512q - 112 - 512q
3) Simplify: -501q < -112
4) Multiply both sides by -1 to reverse the inequality: (-501q)(-1) > (-112)(-1)
5) Simplify: 501q > 112
6) Divide both sides by 501: [tex]\frac{501q}{501} > \frac{112}{501}[/tex]
7) Simplify: [tex]q=\frac{112}{501}[/tex]
can anybody help me ?
Answer:
Step-by-step explanation:
A and C
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7. 2x+1> 3 and 3x - 4 ≤ 17
Solve each compound inequality and graph the solution set
Answer:
2x+1>3
2x>4
x=2
3x-4≤17
3x≤21
x=7
please help me answer this with solution
Answer:
Question 1:
[tex]{ \tt{f(x) = {x}^{2} - 10x + 25}}[/tex]
when f(x) is f(10), we substitute for x as 10; x = 10
[tex]{ \tt{f(10) = {10}^{2} - 10(10) + 25 }} \\ { \tt{f(10) = 100 - 100 + 25}} \\ { \boxed{ \tt{ \: f(10) = 25 \: }}}[/tex]
Question 2:
[tex]{ \tt{f(x) = \frac{2 {x}^{3} - 7 }{10} }} \\ [/tex]
when f(x) is f(-1), we substitute for x as -1; x = -1
[tex]{ \tt{f( - 1) = \frac{2 {( - 1)}^{3} - 7 }{10} }} \\ \\ { \tt{f( - 1) = \frac{ - 2 - 7}{10} }} \\ \\ { \boxed{ \tt{ \: f( - 1) = - \frac{9}{10} \: }}}[/tex]